The Pfaffian-Grassmannian derived equivalence
The Pfaffian-Grassmannian derived equivalence
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DOI：
10.1090/s1056-3911-08-00496-7
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发表时间：
2006-08
影响因子：
1.8
通讯作者：
L. Borisov;Andrei Căldăraru
中科院分区：
文献类型：
--
作者：
L. Borisov;Andrei Căldăraru
我们证明了Grassmannian G（2，7）和Pfangian Pf（7）的对偶线性截（适当余维）所得到的Calabi-Yau三重性之间存在一个导出等价性.这种等价性的存在已经被物理学家证明了近十年，因为两个卡-丘三重族被认为具有相同的镜像。这是第一个例子之间的推导等价卡-丘三倍这是可证明的非双有理。
We argue that there exists a derived equivalence between Calabi-Yau threefolds obtained by taking dual linear sections (of the appropriate codimension) of the Grassmannian G(2, 7) and the Pfaffian Pf(7). The existence of such an equivalence has been conjectured by physicists for almost ten years, as the two families of Calabi-Yau threefolds are believed to have the same mirror. It is the first example of a derived equivalence between Calabi-Yau threefolds which are provably non-birational.